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proving that the language of the grammar is the given one. Prove by induction on n...

proving that the language of the grammar is the given one.

Prove by induction on n that

sum of 2^k for k = 0 to n        =           2^(n+1) -1   for n>=0

Basis P(0) when n = 0:      **           =    **     is true.

Assume P(i) is true, AL = AR when n = i:     **            = **      for i>=0

Inductive Step P(i) to P(i+1),

Show when n = i+1:                     **                   =              **

                                                           In terms of AL      =              **   **

in terms of AR      =             **   **

                                                       after simplification =             **  

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Prove by induction - 2k for k otona 2^(n+1)-1 for ny=0 Solis- Basic Plo) when no: 1 = 1 is true - Assume Pli) is the ALZAR wh

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